Abstract
The article suggests a method for researching the deterministic chaotic mode of an electrotechnical system with generating sources by velocity gradient method of vector Lyapunov functions. Unregulated electrotechnical system is considered. The condition of robust stability of the existing stationary state is obtained in the form of a system of inequalities for the uncertain parameters of the electrotechnical system with generating sources (ETS GS). It is seen on the simulation system of ETS GS, that a deterministic chaos mode with the formation of a 'strange attractor' generated in the system when uncertain parameters locate beyond the limits of robust stability.
| Original language | English |
|---|---|
| Title of host publication | 2019 International Siberian Conference on Control and Communications, SIBCON 2019 - Proceedings |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| ISBN (Electronic) | 9781538651414 |
| DOIs | |
| Publication status | Published - 1 Apr 2019 |
| Event | 2019 International Siberian Conference on Control and Communications, SIBCON 2019 - Tomsk, Russian Federation Duration: 18 Apr 2019 → 20 Apr 2019 |
Publication series
| Name | 2019 International Siberian Conference on Control and Communications, SIBCON 2019 - Proceedings |
|---|
Conference
| Conference | 2019 International Siberian Conference on Control and Communications, SIBCON 2019 |
|---|---|
| Country | Russian Federation |
| City | Tomsk |
| Period | 18.4.19 → 20.4.19 |
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Keywords
- Control systems
- Electrotechnical systems
- Lyapunov direct method
- Modelling
- Robust stability
- Stability
- Vector Lyapunov function
ASJC Scopus subject areas
- Control and Optimization
- Computer Networks and Communications
- Signal Processing
Cite this
The research of the determined chaotic mode of electrotechnical systems with the generating sources by velocity gradient method of vector lyapunov functions. / Beisenbi, Mamyrbek A.; Satpayeva, Ainur K.; Nikulin, Vladimir V.; Goncharov, Valery I.; Va, Shugla S.Mussabayeva; Zhalmuhamedova, Zhanetta M.
2019 International Siberian Conference on Control and Communications, SIBCON 2019 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2019. 8729603 (2019 International Siberian Conference on Control and Communications, SIBCON 2019 - Proceedings).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - The research of the determined chaotic mode of electrotechnical systems with the generating sources by velocity gradient method of vector lyapunov functions
AU - Beisenbi, Mamyrbek A.
AU - Satpayeva, Ainur K.
AU - Nikulin, Vladimir V.
AU - Goncharov, Valery I.
AU - Va, Shugla S.Mussabayeva
AU - Zhalmuhamedova, Zhanetta M.
PY - 2019/4/1
Y1 - 2019/4/1
N2 - The article suggests a method for researching the deterministic chaotic mode of an electrotechnical system with generating sources by velocity gradient method of vector Lyapunov functions. Unregulated electrotechnical system is considered. The condition of robust stability of the existing stationary state is obtained in the form of a system of inequalities for the uncertain parameters of the electrotechnical system with generating sources (ETS GS). It is seen on the simulation system of ETS GS, that a deterministic chaos mode with the formation of a 'strange attractor' generated in the system when uncertain parameters locate beyond the limits of robust stability.
AB - The article suggests a method for researching the deterministic chaotic mode of an electrotechnical system with generating sources by velocity gradient method of vector Lyapunov functions. Unregulated electrotechnical system is considered. The condition of robust stability of the existing stationary state is obtained in the form of a system of inequalities for the uncertain parameters of the electrotechnical system with generating sources (ETS GS). It is seen on the simulation system of ETS GS, that a deterministic chaos mode with the formation of a 'strange attractor' generated in the system when uncertain parameters locate beyond the limits of robust stability.
KW - Control systems
KW - Electrotechnical systems
KW - Lyapunov direct method
KW - Modelling
KW - Robust stability
KW - Stability
KW - Vector Lyapunov function
UR - http://www.scopus.com/inward/record.url?scp=85068351515&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85068351515&partnerID=8YFLogxK
U2 - 10.1109/SIBCON.2019.8729603
DO - 10.1109/SIBCON.2019.8729603
M3 - Conference contribution
T3 - 2019 International Siberian Conference on Control and Communications, SIBCON 2019 - Proceedings
BT - 2019 International Siberian Conference on Control and Communications, SIBCON 2019 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
ER -